Subgroups — D₁₃×#2519 #16031998

Order 3328.

2466 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×#126	C₂	1	1	yes	maximal, characteristic
2	C₂×D₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
3	#13119516	C₂	1	1	yes	maximal, characteristic, complemented
4	#13119515	C₂	1	1	yes	maximal, characteristic, complemented
5	#13119514	C₂	1	1	yes	maximal, characteristic, complemented
6	#13119513	C₂	1	1	yes	maximal, characteristic, complemented
7	#13119512	C₂	1	1	yes	maximal, characteristic, complemented
8	#13119511	C₂	1	1	yes	maximal, characteristic, complemented
9	#13119510	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119509	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119508	C₂	1	1	yes	maximal, characteristic, complemented
12	#13119507	C₂	1	1	yes	maximal, characteristic, complemented
13	#13119506	C₂	1	1	yes	maximal, characteristic, complemented
14	#13119505	C₂	1	1	yes	maximal, characteristic, complemented
15	#13119504	C₂	1	1	yes	maximal, characteristic, complemented
16	#13119503	C₂	1	1	yes	maximal, characteristic, complemented
17	#13119502	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#399	C₂	1	1	yes	maximal, characteristic
19	D₁₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#398	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#396	C₂	1	1	yes	maximal, characteristic
22	D₁₃×#389	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
24	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
25	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
26	D₁₃×#388	C₂	1	1	yes	maximal, characteristic
27	D₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#382	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₄⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2519	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
34	D₁₃×#126	—	2	8	no	—
35	D₁₃×#125	—	2	8	no	—
36	C₂×#88152	C₂²	1	1	yes	characteristic
37	C₂×#88152	C₂²	1	1	yes	characteristic
38	C₂×#88152	C₂²	1	1	yes	characteristic
39	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
59	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
61	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
62	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
65	C₂×#88133	C₂²	1	1	yes	characteristic
66	C₂×#88133	C₂²	1	1	yes	characteristic
67	C₂×#88133	C₂²	1	1	yes	characteristic
68	C₂×#88130	C₂²	1	1	yes	characteristic
69	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
70	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
71	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
72	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
73	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
74	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#399	C₂²	1	1	yes	characteristic
76	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#396	C₂²	1	1	yes	characteristic
79	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#388	C₂²	1	1	yes	characteristic
81	C₁₃×#388	C₂²	1	1	yes	characteristic
82	C₁₃×#388	C₂²	1	1	yes	characteristic
83	C₁₃×#388	C₂²	1	1	yes	characteristic
84	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
86	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
88	#11718655	C₂²	1	1	yes	characteristic
89	#11718655	C₂²	1	1	yes	characteristic
90	#11718655	C₂²	1	1	yes	characteristic
91	#11718653	C₂²	1	1	yes	characteristic
92	#11718653	C₂²	1	1	yes	characteristic
93	#11718653	C₂²	1	1	yes	characteristic
94	#11718651	C₂²	1	1	yes	characteristic
95	#11718651	C₂²	1	1	yes	characteristic
96	#11718651	C₂²	1	1	yes	characteristic
97	#11718651	C₂²	1	1	yes	characteristic
98	#11718646	C₂²	1	1	yes	characteristic, complemented
99	#11718645	C₂²	1	1	yes	characteristic, complemented
100	#11718645	C₂²	1	1	yes	characteristic, complemented
101	#11718645	C₂²	1	1	yes	characteristic, complemented
102	#11718645	C₂²	1	1	yes	characteristic, complemented
103	#11718644	C₂²	1	1	yes	characteristic, complemented
104	#11718644	C₂²	1	1	yes	characteristic, complemented
105	#11718642	C₂²	1	1	yes	characteristic, complemented
106	#11718641	C₂²	1	1	yes	characteristic, complemented
107	#11718641	C₂²	1	1	yes	characteristic, complemented
108	#11718639	C₂²	1	1	yes	characteristic, complemented
109	#11718638	C₂²	1	1	yes	characteristic, complemented
110	#11718638	C₂²	1	1	yes	characteristic, complemented
111	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
114	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
115	#11718634	C₂²	1	1	yes	characteristic, complemented
116	#11718633	C₂²	1	1	yes	characteristic, complemented
117	#11718633	C₂²	1	1	yes	characteristic, complemented
118	#11718612	C₂²	1	1	yes	characteristic
119	#11718612	C₂²	1	1	yes	characteristic
120	#11718612	C₂²	1	1	yes	characteristic
121	#11718612	C₂²	1	1	yes	characteristic
122	#11718610	C₂²	1	1	yes	characteristic
123	#11718610	C₂²	1	1	yes	characteristic
124	#11718610	C₂²	1	1	yes	characteristic
125	#11718609	C₂²	1	1	yes	characteristic
126	#11718609	C₂²	1	1	yes	characteristic
127	#11718609	C₂²	1	1	yes	characteristic
128	#11718606	C₂²	1	1	yes	characteristic
129	#11718606	C₂²	1	1	yes	characteristic
130	#11718606	C₂²	1	1	yes	characteristic
131	#11718606	C₂²	1	1	yes	characteristic
132	#11718605	C₂²	1	1	yes	characteristic
133	#11718605	C₂²	1	1	yes	characteristic
134	#11718605	C₂²	1	1	yes	characteristic
135	#11718605	C₂²	1	1	yes	characteristic
136	#11718601	C₂²	1	1	yes	characteristic
137	#11718601	C₂²	1	1	yes	characteristic
138	#11718601	C₂²	1	1	yes	characteristic
139	#11718601	C₂²	1	1	yes	characteristic
140	#11718597	C₂²	1	1	yes	characteristic, complemented
141	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
142	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
143	#11718594	C₂²	1	1	yes	characteristic, complemented
144	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
145	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
146	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
147	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
148	#11718589	C₂²	1	1	yes	characteristic, complemented
149	#11718338	C₂²	1	1	yes	characteristic
150	#11718337	C₂²	1	1	yes	characteristic
151	#11718331	C₂²	1	1	yes	characteristic
152	#11718331	C₂²	1	1	yes	characteristic
153	#11718331	C₂²	1	1	yes	characteristic
154	#11718331	C₂²	1	1	yes	characteristic
155	#11718330	C₂²	1	1	yes	characteristic
156	#11718330	C₂²	1	1	yes	characteristic
157	#11718330	C₂²	1	1	yes	characteristic
158	#11718330	C₂²	1	1	yes	characteristic
159	D₁₃×#95	C₂²	1	1	yes	characteristic
160	D₁₃×#95	C₂²	1	1	yes	characteristic
161	D₁₃×#95	C₂²	1	1	yes	characteristic
162	D₁₃×#95	C₂²	1	1	yes	characteristic
163	D₁₃×#95	C₂²	1	1	yes	characteristic
164	D₁₃×#95	C₂²	1	1	yes	characteristic
165	D₁₃×#95	C₂²	1	1	yes	characteristic
166	D₁₃×#95	C₂²	1	1	yes	characteristic
167	D₁₃×#95	C₂²	1	1	yes	characteristic
168	D₁₃×#95	C₂²	1	1	yes	characteristic
169	#11718322	C₂²	1	1	yes	characteristic, complemented
170	#11718322	C₂²	1	1	yes	characteristic, complemented
171	#11718318	C₂²	1	1	yes	characteristic, complemented
172	#11718318	C₂²	1	1	yes	characteristic, complemented
173	#11718318	C₂²	1	1	yes	characteristic, complemented
174	#11718318	C₂²	1	1	yes	characteristic, complemented
175	#11718316	C₂²	1	1	yes	characteristic, complemented
176	#11718315	C₂²	1	1	yes	characteristic, complemented
177	#11718314	C₂²	1	1	yes	characteristic, complemented
178	#11718313	C₂²	1	1	yes	characteristic, complemented
179	#11718311	C₂²	1	1	yes	characteristic, complemented
180	#11718311	C₂²	1	1	yes	characteristic, complemented
181	#11718311	C₂²	1	1	yes	characteristic, complemented
182	#11718311	C₂²	1	1	yes	characteristic, complemented
183	#11718310	C₂²	1	1	yes	characteristic, complemented
184	#11718310	C₂²	1	1	yes	characteristic, complemented
185	#11718310	C₂²	1	1	yes	characteristic, complemented
186	#11718310	C₂²	1	1	yes	characteristic, complemented
187	#11718308	C₂²	1	1	yes	characteristic, complemented
188	#11718308	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₁₃×#126	—	2	4	no	—
205	C₁₃×#125	—	2	4	no	—
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	#88152	—	2	4	no	—
307	#88152	—	2	4	no	—
308	#88152	—	2	4	no	—
309	C₄⋊C₄×D₁₃	—	2	4	no	—
310	C₄⋊C₄×D₁₃	—	2	4	no	—
311	C₄⋊C₄×D₁₃	—	2	4	no	—
312	C₄⋊C₄×D₁₃	—	2	4	no	—
313	C₄⋊C₄×D₁₃	—	2	4	no	—
314	C₄⋊C₄×D₁₃	—	2	4	no	—
315	C₄⋊C₄×D₁₃	—	2	4	no	—
316	C₄⋊C₄×D₁₃	—	2	4	no	—
317	C₄⋊C₄×D₁₃	—	2	4	no	—
318	C₄⋊C₄×D₁₃	—	2	4	no	—
319	C₄⋊C₄×D₁₃	—	2	4	no	—
320	C₄⋊C₄×D₁₃	—	2	4	no	—
321	C₄⋊C₄×D₁₃	D₄	1	8	yes	—
322	#88144	—	2	4	no	—
323	#88144	—	2	4	no	—
324	#88143	—	2	4	no	—
325	#88143	—	2	4	no	—
326	#88143	—	2	4	no	—
327	#88143	—	2	4	no	—
328	C₂²⋊C₄×D₁₃	—	2	4	no	—
329	C₂²⋊C₄×D₁₃	—	2	4	no	—
330	C₂²⋊C₄×D₁₃	—	2	4	no	—
331	C₂²⋊C₄×D₁₃	—	2	4	no	—
332	C₂²⋊C₄×D₁₃	—	2	4	no	—
333	C₂²⋊C₄×D₁₃	—	2	4	no	—
334	C₂²⋊C₄×D₁₃	—	2	4	no	—
335	#88133	—	2	4	no	—
336	#88133	—	2	4	no	—
337	#88133	—	2	4	no	—
338	#88130	—	2	4	no	—
339	C₄²×D₁₃	—	2	4	no	—
340	C₄²×D₁₃	—	2	4	no	—
341	C₄²×D₁₃	—	2	4	no	—
342	C₄²×D₁₃	—	2	4	no	—
343	C₄²×D₁₃	—	2	4	no	—
344	#88124	—	2	4	no	—
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	#88071	C₂³	1	1	yes	characteristic
377	#88071	C₂³	1	1	yes	characteristic
378	#88071	C₂³	1	1	yes	characteristic
379	#88071	C₂³	1	1	yes	characteristic
380	#88071	C₂³	1	1	yes	characteristic
381	#88071	C₂³	1	1	yes	characteristic
382	#88071	C₂³	1	1	yes	characteristic
383	#88071	C₂³	1	1	yes	characteristic
384	#88071	C₂³	1	1	yes	characteristic
385	C₂×#2519	—	13	1	no	maximal, Sylow
386	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂³×D₁₃	—	2	2	no	—
388	C₂³×D₁₃	—	2	2	no	—
389	C₂³×D₁₃	—	2	2	no	—
390	C₂³×D₁₃	—	2	2	no	—
391	C₂³×D₁₃	—	2	2	no	—
392	C₂³×D₁₃	—	2	2	no	—
393	C₂³×D₁₃	—	2	2	no	—
394	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
395	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	2	2	no	—
438	C₂×C₄×D₁₃	—	2	2	no	—
439	C₂×C₄×D₁₃	—	2	2	no	—
440	C₂×C₄×D₁₃	—	2	2	no	—
441	C₂×C₄×D₁₃	—	2	2	no	—
442	C₂×C₄×D₁₃	—	2	2	no	—
443	C₂×C₄×D₁₃	—	2	2	no	—
444	C₂×C₄×D₁₃	—	2	2	no	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	—	2	2	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
460	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
461	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
462	C₂×C₄×D₁₃	#41	1	4	yes	—
463	C₂×C₄×D₁₃	#41	1	4	yes	—
464	C₂×C₄×D₁₃	#41	1	4	yes	—
465	C₂×C₄×D₁₃	#41	1	4	yes	—
466	C₁₃×C₄⋊C₄	—	2	2	no	—
467	C₁₃×C₄⋊C₄	—	2	2	no	—
468	C₁₃×C₄⋊C₄	—	2	2	no	—
469	C₁₃×C₄⋊C₄	—	2	2	no	—
470	C₁₃×C₄⋊C₄	—	2	2	no	—
471	C₁₃×C₄⋊C₄	—	2	2	no	—
472	C₁₃×C₄⋊C₄	—	2	2	no	—
473	C₁₃×C₄⋊C₄	—	2	2	no	—
474	C₁₃×C₄⋊C₄	—	2	2	no	—
475	C₁₃×C₄⋊C₄	—	2	2	no	—
476	C₁₃×C₄⋊C₄	—	2	2	no	—
477	C₁₃×C₄⋊C₄	—	2	2	no	—
478	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	2	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₂²⋊Dic₁₃	—	2	2	no	—
492	C₂²⋊Dic₁₃	—	2	2	no	—
493	C₂²⋊Dic₁₃	—	2	2	no	—
494	C₂²⋊Dic₁₃	—	2	2	no	—
495	C₂²⋊Dic₁₃	—	2	2	no	—
496	C₂²⋊Dic₁₃	—	2	2	no	—
497	C₂²⋊Dic₁₃	—	2	2	no	—
498	#6103	—	2	2	no	—
499	#6103	—	2	2	no	—
500	#6103	—	2	2	no	—
501	#6103	—	2	2	no	—
502	#6103	—	2	2	no	—
503	#6103	—	2	2	no	—
504	#6103	—	2	2	no	—
505	#6103	—	2	2	no	—
506	#6103	—	2	2	no	—
507	#6103	—	2	2	no	—
508	#6103	—	2	2	no	—
509	#6103	—	2	2	no	—
510	#6103	—	2	2	no	—
511	#6103	—	2	2	no	—
512	C₄⋊Dic₁₃	—	2	2	no	—
513	C₄⋊Dic₁₃	—	2	2	no	—
514	C₄⋊Dic₁₃	—	2	2	no	—
515	C₄⋊Dic₁₃	—	2	2	no	—
516	C₄⋊Dic₁₃	—	2	2	no	—
517	C₄⋊Dic₁₃	—	2	2	no	—
518	C₄⋊Dic₁₃	—	2	2	no	—
519	C₄⋊Dic₁₃	—	2	2	no	—
520	C₄⋊Dic₁₃	—	2	2	no	—
521	C₄⋊Dic₁₃	—	2	2	no	—
522	C₄⋊Dic₁₃	—	2	2	no	—
523	C₄⋊Dic₁₃	—	2	2	no	—
524	C₄⋊Dic₁₃	C₂×D₄	1	4	yes	—
525	#6101	—	2	2	no	—
526	#6101	—	2	2	no	—
527	#6101	—	2	2	no	—
528	#6101	—	2	2	no	—
529	#6101	—	2	2	no	—
530	#6101	—	2	2	no	—
531	#6101	—	2	2	no	—
532	#6101	—	2	2	no	—
533	#6101	—	2	2	no	—
534	#6101	—	2	2	no	—
535	#6101	—	2	2	no	—
536	#6101	—	2	2	no	—
537	#6101	—	2	2	no	—
538	#6101	—	2	2	no	—
539	#6101	—	2	2	no	—
540	#6101	—	2	2	no	—
541	#6101	—	2	2	no	—
542	#6101	—	2	2	no	—
543	#6101	—	2	2	no	—
544	#6101	—	2	2	no	—
545	#6101	—	2	2	no	—
546	#6101	—	2	2	no	—
547	#6101	—	2	2	no	—
548	#6101	—	2	2	no	—
549	#6101	C₂×D₄	1	4	yes	—
550	#6101	C₂×D₄	1	4	yes	—
551	C₄×Dic₁₃	—	2	2	no	—
552	C₄×Dic₁₃	—	2	2	no	—
553	C₄×Dic₁₃	—	2	2	no	—
554	C₄×Dic₁₃	—	2	2	no	—
555	C₄×Dic₁₃	—	2	2	no	—
556	C₄×Dic₁₃	—	2	2	no	—
557	C₄×Dic₁₃	—	2	2	no	—
558	C₄×Dic₁₃	—	2	2	no	—
559	C₄×Dic₁₃	—	2	2	no	—
560	C₄×Dic₁₃	—	2	2	no	—
561	C₄×Dic₁₃	—	2	2	no	—
562	C₄×Dic₁₃	—	2	2	no	—
563	C₄×Dic₁₃	—	2	2	no	—
564	C₄×Dic₁₃	—	2	2	no	—
565	C₄×Dic₁₃	—	2	2	no	—
566	C₂²×#126	—	13	1	no	—
567	C₂²×#125	—	13	1	no	—
568	#2519	—	13	1	no	—
569	#2519	—	13	1	no	—
570	#2519	—	13	1	no	—
571	#2519	—	13	1	no	—
572	#2519	—	13	1	no	—
573	#2519	—	13	1	no	—
574	#2519	—	13	1	no	—
575	#2519	—	13	1	no	—
576	#2519	—	13	1	no	—
577	#2519	—	13	1	no	—
578	#2519	—	13	1	no	—
579	#2519	—	13	1	no	—
580	#2519	—	13	1	no	—
581	#2519	—	13	1	no	—
582	#2519	—	13	1	no	—
583	#2519	D₁₃	1	1	yes	characteristic, direct product factor
584	C₂×#399	—	13	1	no	—
585	C₂×#398	—	13	1	no	—
586	C₂×#398	—	13	1	no	—
587	C₂×#396	—	13	1	no	—
588	C₂×#389	—	13	1	no	—
589	C₂×#388	—	13	1	no	—
590	C₂×#388	—	13	1	no	—
591	C₂×#388	—	13	1	no	—
592	C₂×#388	—	13	1	no	—
593	C₂×#387	—	13	1	no	—
594	C₂×#382	—	13	1	no	—
595	C₂×C₄×C₄⋊C₄	—	13	1	no	—
596	C₂×C₄×C₄⋊C₄	—	13	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
605	C₂²×D₁₃	—	2	1	no	—
606	C₂²×D₁₃	—	2	1	no	—
607	C₂²×D₁₃	—	2	1	no	—
608	C₂²×D₁₃	—	2	1	no	—
609	C₂²×D₁₃	—	2	1	no	—
610	C₂²×D₁₃	—	2	1	no	—
611	C₂²×D₁₃	—	2	1	no	—
612	C₂²×D₁₃	—	4	4	no	—
613	C₂²×D₁₃	—	4	4	no	—
614	C₂²×D₁₃	—	4	4	no	—
615	C₂²×D₁₃	—	4	4	no	—
616	C₂²×D₁₃	—	4	4	no	—
617	C₂²×D₁₃	—	4	4	no	—
618	C₂²×D₁₃	—	4	4	no	—
619	C₂²×D₁₃	C₂²×D₄	1	2	yes	—
620	C₂²×D₁₃	C₂×#41	1	2	yes	—
621	C₂²×D₁₃	C₂×#41	1	2	yes	—
622	C₂²×D₁₃	C₂×#41	1	2	yes	—
623	C₂²×D₁₃	C₂×#41	1	2	yes	—
624	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
625	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
662	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
663	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
664	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
665	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
666	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
667	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
704	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
705	C₂×Dic₁₃	C₂²×D₄	1	2	yes	—
706	C₂×Dic₁₃	C₂×#41	1	2	yes	—
707	C₂×Dic₁₃	C₂×#41	1	2	yes	—
708	C₂×Dic₁₃	C₂×#41	1	2	yes	—
709	C₂×Dic₁₃	C₂×#41	1	2	yes	—
710	C₄×D₁₃	—	2	8	no	—
711	C₄×D₁₃	—	2	8	no	—
712	C₄×D₁₃	—	2	8	no	—
713	C₄×D₁₃	—	2	8	no	—
714	C₄×D₁₃	—	2	8	no	—
715	C₄×D₁₃	—	2	8	no	—
716	C₄×D₁₃	—	2	8	no	—
717	C₄×D₁₃	—	4	4	no	—
718	C₄×D₁₃	—	4	4	no	—
719	C₄×D₁₃	—	4	4	no	—
720	C₄×D₁₃	—	4	4	no	—
721	C₄×D₁₃	—	4	4	no	—
722	C₄×D₁₃	—	4	4	no	—
723	C₄×D₁₃	—	4	4	no	—
724	C₂×#126	—	13	1	no	—
725	C₂×#126	—	13	1	no	—
726	C₂×#126	—	13	1	no	—
727	C₂×#126	—	13	1	no	—
728	C₂×#126	—	13	1	no	—
729	C₂×#126	—	13	1	no	—
730	C₂×#126	—	13	1	no	—
731	C₂×#126	—	26	8	no	—
732	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
733	C₂×#125	—	13	1	no	—
734	C₂×#125	—	13	1	no	—
735	C₂×#125	—	13	1	no	—
736	C₂×#125	—	13	1	no	—
737	C₂×#125	—	13	1	no	—
738	C₂×#125	—	13	1	no	—
739	C₂×#125	—	13	1	no	—
740	C₂×#125	—	26	8	no	—
741	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
742	C₂²×C₄⋊C₄	—	13	1	no	—
743	C₂²×C₄⋊C₄	—	13	1	no	—
744	C₂²×C₄⋊C₄	—	13	1	no	—
745	C₂²×C₄⋊C₄	—	13	1	no	—
746	C₂²×C₄⋊C₄	—	13	1	no	—
747	C₂²×C₄⋊C₄	—	13	1	no	—
748	C₂²×C₄⋊C₄	—	13	1	no	—
749	C₂²×C₄⋊C₄	—	13	1	no	—
750	C₂²×C₄⋊C₄	—	13	1	no	—
751	C₂²×C₄⋊C₄	—	13	1	no	—
752	C₂²×C₄⋊C₄	—	13	1	no	—
753	C₂²×C₄⋊C₄	—	13	1	no	—
754	C₂²×C₄⋊C₄	—	13	1	no	—
755	C₂²×C₂²⋊C₄	—	13	1	no	—
756	C₂²×C₂²⋊C₄	—	13	1	no	—
757	C₂²×C₂²⋊C₄	—	13	1	no	—
758	C₂²×C₂²⋊C₄	—	13	1	no	—
759	C₂²×C₂²⋊C₄	—	13	1	no	—
760	C₂²×C₂²⋊C₄	—	13	1	no	—
761	C₂²×C₂²⋊C₄	—	13	1	no	—
762	C₂²×C₄²	—	13	1	no	—
763	C₂²×C₄²	—	13	1	no	—
764	C₂²×C₄²	—	13	1	no	—
765	C₂²×C₄²	—	13	1	no	—
766	C₂²×C₄²	—	13	1	no	—
767	#399	—	13	1	no	—
768	#399	—	13	1	no	—
769	#399	—	13	1	no	—
770	#399	—	13	1	no	—
771	#399	—	13	1	no	—
772	#399	—	13	1	no	—
773	#399	—	13	1	no	—
774	#399	C₂×D₁₃	1	1	yes	characteristic
775	#398	—	13	1	no	—
776	#398	—	13	1	no	—
777	#398	—	13	1	no	—
778	#398	—	13	1	no	—
779	#398	—	13	1	no	—
780	#398	—	13	1	no	—
781	#398	—	13	1	no	—
782	#398	—	13	1	no	—
783	#398	—	13	1	no	—
784	#398	—	13	1	no	—
785	#398	—	13	1	no	—
786	#398	—	13	1	no	—
787	#398	—	13	1	no	—
788	#398	—	13	1	no	—
789	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
790	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
791	#396	—	13	1	no	—
792	#396	—	13	1	no	—
793	#396	—	13	1	no	—
794	#396	—	13	1	no	—
795	#396	—	13	1	no	—
796	#396	—	13	1	no	—
797	#396	—	13	1	no	—
798	#396	C₂×D₁₃	1	1	yes	characteristic
799	#389	—	13	1	no	—
800	#389	—	13	1	no	—
801	#389	—	13	1	no	—
802	#389	—	13	1	no	—
803	#389	—	13	1	no	—
804	#389	—	13	1	no	—
805	#389	—	13	1	no	—
806	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
807	#388	—	13	1	no	—
808	#388	—	13	1	no	—
809	#388	—	13	1	no	—
810	#388	—	13	1	no	—
811	#388	—	13	1	no	—
812	#388	—	13	1	no	—
813	#388	—	13	1	no	—
814	#388	—	13	1	no	—
815	#388	—	13	1	no	—
816	#388	—	13	1	no	—
817	#388	—	13	1	no	—
818	#388	—	13	1	no	—
819	#388	—	13	1	no	—
820	#388	—	13	1	no	—
821	#388	—	13	1	no	—
822	#388	—	13	1	no	—
823	#388	—	13	1	no	—
824	#388	—	13	1	no	—
825	#388	—	13	1	no	—
826	#388	—	13	1	no	—
827	#388	—	13	1	no	—
828	#388	—	13	1	no	—
829	#388	—	13	1	no	—
830	#388	—	13	1	no	—
831	#388	—	13	1	no	—
832	#388	—	13	1	no	—
833	#388	—	13	1	no	—
834	#388	—	13	1	no	—
835	#388	C₂×D₁₃	1	1	yes	characteristic
836	#388	C₂×D₁₃	1	1	yes	characteristic
837	#388	C₂×D₁₃	1	1	yes	characteristic
838	#388	C₂×D₁₃	1	1	yes	characteristic
839	#387	—	13	1	no	—
840	#387	—	13	1	no	—
841	#387	—	13	1	no	—
842	#387	—	13	1	no	—
843	#387	—	13	1	no	—
844	#387	—	13	1	no	—
845	#387	—	13	1	no	—
846	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
847	#382	—	13	1	no	—
848	#382	—	13	1	no	—
849	#382	—	13	1	no	—
850	#382	—	13	1	no	—
851	#382	—	13	1	no	—
852	#382	—	13	1	no	—
853	#382	—	13	1	no	—
854	#382	C₂×D₁₃	1	1	yes	characteristic, complemented
855	C₄×C₄⋊C₄	—	13	1	no	—
856	C₄×C₄⋊C₄	—	13	1	no	—
857	C₄×C₄⋊C₄	—	13	1	no	—
858	C₄×C₄⋊C₄	—	13	1	no	—
859	C₄×C₄⋊C₄	—	13	1	no	—
860	C₄×C₄⋊C₄	—	13	1	no	—
861	C₄×C₄⋊C₄	—	13	1	no	—
862	C₄×C₄⋊C₄	—	13	1	no	—
863	C₄×C₄⋊C₄	—	13	1	no	—
864	C₄×C₄⋊C₄	—	13	1	no	—
865	C₄×C₄⋊C₄	—	13	1	no	—
866	C₄×C₄⋊C₄	—	13	1	no	—
867	C₄×C₄⋊C₄	—	13	1	no	—
868	C₄×C₄⋊C₄	—	13	1	no	—
869	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
870	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
871	C₂×#95	—	13	1	no	—
872	C₂×#95	—	13	1	no	—
873	C₂×#95	—	13	1	no	—
874	C₂×#95	—	13	1	no	—
875	C₂×#95	—	13	1	no	—
876	C₂×#95	—	13	1	no	—
877	C₂×#95	—	13	1	no	—
878	C₂×#95	—	13	1	no	—
879	C₂×#95	—	13	1	no	—
880	C₂×#95	—	13	1	no	—
881	C₂²×C₁₃	—	4	1	no	—
882	C₂²×C₁₃	—	4	1	no	—
883	C₂²×C₁₃	—	4	1	no	—
884	C₂²×C₁₃	—	4	1	no	—
885	C₂²×C₁₃	—	4	1	no	—
886	C₂²×C₁₃	—	4	1	no	—
887	C₂²×C₁₃	—	4	1	no	—
888	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
889	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
890	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
891	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
892	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
893	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
894	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
895	C₂×D₁₃	—	4	1	no	—
896	C₂×D₁₃	—	4	1	no	—
897	C₂×D₁₃	—	4	1	no	—
898	C₂×D₁₃	—	4	1	no	—
899	C₂×D₁₃	—	4	1	no	—
900	C₂×D₁₃	—	4	1	no	—
901	C₂×D₁₃	—	4	1	no	—
902	C₂×D₁₃	—	8	8	no	—
903	C₂×D₁₃	#529	1	4	yes	—
904	C₂×D₁₃	#532	1	4	yes	—
905	C₂×D₁₃	#541	1	4	yes	—
906	C₂×D₁₃	#547	1	4	yes	—
907	C₂×D₁₃	#548	1	4	yes	—
908	C₂×D₁₃	#552	1	4	yes	—
909	C₂×D₁₃	#552	1	4	yes	—
910	C₄×C₁₃	—	2	2	no	—
911	C₄×C₁₃	—	2	2	no	—
912	C₄×C₁₃	—	2	2	no	—
913	C₄×C₁₃	—	2	2	no	—
914	C₄×C₁₃	—	2	2	no	—
915	C₄×C₁₃	—	2	2	no	—
916	C₄×C₁₃	—	2	2	no	—
917	C₄×C₁₃	—	4	1	no	—
918	C₄×C₁₃	—	4	1	no	—
919	C₄×C₁₃	—	4	1	no	—
920	C₄×C₁₃	—	4	1	no	—
921	C₄×C₁₃	—	4	1	no	—
922	C₄×C₁₃	—	4	1	no	—
923	C₄×C₁₃	—	4	1	no	—
924	Dic₁₃	—	2	2	no	—
925	Dic₁₃	—	2	2	no	—
926	Dic₁₃	—	2	2	no	—
927	Dic₁₃	—	2	2	no	—
928	Dic₁₃	—	2	2	no	—
929	Dic₁₃	—	2	2	no	—
930	Dic₁₃	—	2	2	no	—
931	Dic₁₃	—	4	1	no	—
932	Dic₁₃	—	4	1	no	—
933	Dic₁₃	—	4	1	no	—
934	Dic₁₃	—	4	1	no	—
935	Dic₁₃	—	4	1	no	—
936	Dic₁₃	—	4	1	no	—
937	Dic₁₃	—	4	1	no	—
938	C₂⁵	—	13	1	no	—
939	C₂³×C₄	—	13	1	no	—
940	C₂³×C₄	—	13	1	no	—
941	C₂³×C₄	—	13	1	no	—
942	C₂³×C₄	—	13	1	no	—
943	C₂³×C₄	—	13	1	no	—
944	C₂³×C₄	—	13	1	no	—
945	C₂³×C₄	—	13	1	no	—
946	C₂³×C₄	—	13	1	no	—
947	C₂³×C₄	—	13	1	no	—
948	C₂³×C₄	—	13	1	no	—
949	C₂³×C₄	—	13	1	no	—
950	C₂³×C₄	—	13	1	no	—
951	C₂³×C₄	—	13	1	no	—
952	C₂³×C₄	—	13	1	no	—
953	#126	—	2	4	no	—
954	#126	—	26	4	no	—
955	#126	—	26	4	no	—
956	#126	—	26	4	no	—
957	#126	—	26	4	no	—
958	#126	—	26	4	no	—
959	#126	—	26	4	no	—
960	#126	—	26	4	no	—
961	#125	—	2	4	no	—
962	#125	—	26	4	no	—
963	#125	—	26	4	no	—
964	#125	—	26	4	no	—
965	#125	—	26	4	no	—
966	#125	—	26	4	no	—
967	#125	—	26	4	no	—
968	#125	—	26	4	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	8	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	—	13	1	no	—
975	C₂×C₄⋊C₄	—	13	1	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	1	no	—
985	C₂×C₄⋊C₄	—	13	1	no	—
986	C₂×C₄⋊C₄	—	13	1	no	—
987	C₂×C₄⋊C₄	—	13	1	no	—
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	13	1	no	—
990	C₂×C₄⋊C₄	—	13	1	no	—
991	C₂×C₄⋊C₄	—	13	1	no	—
992	C₂×C₄⋊C₄	—	13	1	no	—
993	C₂×C₄⋊C₄	—	13	1	no	—
994	C₂×C₄⋊C₄	—	13	1	no	—
995	C₂×C₄⋊C₄	—	13	1	no	—
996	C₂×C₄⋊C₄	—	13	1	no	—
997	C₂×C₄⋊C₄	—	13	1	no	—
998	C₂×C₄⋊C₄	—	13	1	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	1	no	—
1002	C₂×C₄⋊C₄	—	13	1	no	—
1003	C₂×C₄⋊C₄	—	13	1	no	—
1004	C₂×C₄⋊C₄	—	13	1	no	—
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	—	13	1	no	—
1007	C₂×C₄⋊C₄	—	13	1	no	—
1008	C₂×C₄⋊C₄	—	13	1	no	—
1009	C₂×C₄⋊C₄	—	26	4	no	—
1010	C₂×C₄⋊C₄	—	26	4	no	—
1011	C₂×C₄⋊C₄	—	26	4	no	—
1012	C₂×C₄⋊C₄	—	26	4	no	—
1013	C₂×C₄⋊C₄	—	26	4	no	—
1014	C₂×C₄⋊C₄	—	26	4	no	—
1015	C₂×C₄⋊C₄	—	26	4	no	—
1016	C₂×C₄⋊C₄	—	26	4	no	—
1017	C₂×C₄⋊C₄	—	26	4	no	—
1018	C₂×C₄⋊C₄	—	26	4	no	—
1019	C₂×C₄⋊C₄	—	26	4	no	—
1020	C₂×C₄⋊C₄	—	26	4	no	—
1021	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	—	13	1	no	—
1035	C₂×C₂²⋊C₄	—	13	1	no	—
1036	C₂×C₂²⋊C₄	—	13	1	no	—
1037	C₂×C₂²⋊C₄	—	13	1	no	—
1038	C₂×C₂²⋊C₄	—	13	1	no	—
1039	C₂×C₂²⋊C₄	—	13	1	no	—
1040	C₂×C₂²⋊C₄	—	13	1	no	—
1041	C₂×C₂²⋊C₄	—	13	1	no	—
1042	C₂×C₂²⋊C₄	—	13	1	no	—
1043	C₂×C₂²⋊C₄	—	13	1	no	—
1044	C₂×C₂²⋊C₄	—	13	1	no	—
1045	C₂×C₂²⋊C₄	—	13	1	no	—
1046	C₂×C₂²⋊C₄	—	13	1	no	—
1047	C₂×C₂²⋊C₄	—	13	1	no	—
1048	C₂×C₂²⋊C₄	—	13	1	no	—
1049	C₂×C₂²⋊C₄	—	13	1	no	—
1050	C₂×C₂²⋊C₄	—	13	1	no	—
1051	C₂×C₂²⋊C₄	—	13	1	no	—
1052	C₂×C₂²⋊C₄	—	13	1	no	—
1053	C₂×C₂²⋊C₄	—	13	1	no	—
1054	C₂×C₂²⋊C₄	—	13	1	no	—
1055	C₂×C₂²⋊C₄	—	26	4	no	—
1056	C₂×C₂²⋊C₄	—	26	4	no	—
1057	C₂×C₂²⋊C₄	—	26	4	no	—
1058	C₂×C₂²⋊C₄	—	26	4	no	—
1059	C₂×C₂²⋊C₄	—	26	4	no	—
1060	C₂×C₂²⋊C₄	—	26	4	no	—
1061	C₂×C₂²⋊C₄	—	26	4	no	—
1062	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1069	C₂×C₄²	—	13	1	no	—
1070	C₂×C₄²	—	13	1	no	—
1071	C₂×C₄²	—	13	1	no	—
1072	C₂×C₄²	—	13	1	no	—
1073	C₂×C₄²	—	13	1	no	—
1074	C₂×C₄²	—	13	1	no	—
1075	C₂×C₄²	—	13	1	no	—
1076	C₂×C₄²	—	13	1	no	—
1077	C₂×C₄²	—	13	1	no	—
1078	C₂×C₄²	—	13	1	no	—
1079	C₂×C₄²	—	13	1	no	—
1080	C₂×C₄²	—	13	1	no	—
1081	C₂×C₄²	—	13	1	no	—
1082	C₂×C₄²	—	13	1	no	—
1083	C₂×C₄²	—	13	1	no	—
1084	C₂×C₄²	—	26	4	no	—
1085	C₂×C₄²	—	26	4	no	—
1086	C₂×C₄²	—	26	4	no	—
1087	C₂×C₄²	—	26	4	no	—
1088	C₂×C₄²	—	26	4	no	—
1089	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1092	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	—	13	1	no	—
1095	#95	—	13	1	no	—
1096	#95	—	13	1	no	—
1097	#95	—	13	1	no	—
1098	#95	—	13	1	no	—
1099	#95	—	13	1	no	—
1100	#95	—	13	1	no	—
1101	#95	—	13	1	no	—
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	—	13	1	no	—
1110	#95	—	13	1	no	—
1111	#95	—	13	1	no	—
1112	#95	—	13	1	no	—
1113	#95	—	13	1	no	—
1114	#95	—	13	1	no	—
1115	#95	—	13	1	no	—
1116	#95	—	13	1	no	—
1117	#95	—	13	1	no	—
1118	#95	—	13	1	no	—
1119	#95	—	13	1	no	—
1120	#95	—	13	1	no	—
1121	#95	—	13	1	no	—
1122	#95	—	13	1	no	—
1123	#95	—	13	1	no	—
1124	#95	C₂²×D₁₃	1	1	yes	characteristic
1125	#95	C₂²×D₁₃	1	1	yes	characteristic
1126	#95	C₂²×D₁₃	1	1	yes	characteristic
1127	#95	C₂²×D₁₃	1	1	yes	characteristic
1128	#95	C₂²×D₁₃	1	1	yes	characteristic
1129	#95	C₂²×D₁₃	1	1	yes	characteristic
1130	#95	C₂²×D₁₃	1	1	yes	characteristic
1131	#95	C₂²×D₁₃	1	1	yes	characteristic
1132	#95	C₂²×D₁₃	1	1	yes	characteristic
1133	#95	C₂²×D₁₃	1	1	yes	characteristic
1134	C₂×C₁₃	—	8	1	no	—
1135	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1136	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
1137	C₂×C₁₃	C₂×#541	1	1	yes	characteristic
1138	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
1139	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
1140	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1141	C₂×C₁₃	C₂×#552	1	1	yes	characteristic
1142	D₁₃	—	8	1	no	—
1143	D₁₃	#2519	1	8	yes	direct product factor
1144	C₂⁴	—	13	1	no	—
1145	C₂⁴	—	13	1	no	—
1146	C₂⁴	—	26	2	no	—
1147	C₂⁴	—	26	2	no	—
1148	C₂⁴	—	26	2	no	—
1149	C₂⁴	—	26	2	no	—
1150	C₂⁴	—	26	2	no	—
1151	C₂⁴	—	26	2	no	—
1152	C₂⁴	—	26	2	no	—
1153	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1154	C₂²×C₄	—	13	1	no	—
1155	C₂²×C₄	—	13	1	no	—
1156	C₂²×C₄	—	13	1	no	—
1157	C₂²×C₄	—	13	1	no	—
1158	C₂²×C₄	—	13	1	no	—
1159	C₂²×C₄	—	13	1	no	—
1160	C₂²×C₄	—	13	1	no	—
1161	C₂²×C₄	—	13	4	no	—
1162	C₂²×C₄	—	13	4	no	—
1163	C₂²×C₄	—	13	4	no	—
1164	C₂²×C₄	—	13	4	no	—
1165	C₂²×C₄	—	13	4	no	—
1166	C₂²×C₄	—	13	4	no	—
1167	C₂²×C₄	—	13	4	no	—
1168	C₂²×C₄	—	13	1	no	—
1169	C₂²×C₄	—	13	1	no	—
1170	C₂²×C₄	—	13	1	no	—
1171	C₂²×C₄	—	13	1	no	—
1172	C₂²×C₄	—	13	1	no	—
1173	C₂²×C₄	—	13	1	no	—
1174	C₂²×C₄	—	13	1	no	—
1175	C₂²×C₄	—	26	2	no	—
1176	C₂²×C₄	—	26	2	no	—
1177	C₂²×C₄	—	26	2	no	—
1178	C₂²×C₄	—	26	2	no	—
1179	C₂²×C₄	—	26	2	no	—
1180	C₂²×C₄	—	26	2	no	—
1181	C₂²×C₄	—	26	2	no	—
1182	C₂²×C₄	—	26	2	no	—
1183	C₂²×C₄	—	26	2	no	—
1184	C₂²×C₄	—	26	2	no	—
1185	C₂²×C₄	—	26	2	no	—
1186	C₂²×C₄	—	26	2	no	—
1187	C₂²×C₄	—	26	2	no	—
1188	C₂²×C₄	—	26	2	no	—
1189	C₂²×C₄	—	26	2	no	—
1190	C₂²×C₄	—	26	2	no	—
1191	C₂²×C₄	—	26	2	no	—
1192	C₂²×C₄	—	26	2	no	—
1193	C₂²×C₄	—	26	2	no	—
1194	C₂²×C₄	—	26	2	no	—
1195	C₂²×C₄	—	26	2	no	—
1196	C₂²×C₄	—	26	2	no	—
1197	C₂²×C₄	—	26	2	no	—
1198	C₂²×C₄	—	26	2	no	—
1199	C₂²×C₄	—	26	2	no	—
1200	C₂²×C₄	—	26	2	no	—
1201	C₂²×C₄	—	26	2	no	—
1202	C₂²×C₄	—	26	2	no	—
1203	C₂²×C₄	—	26	2	no	—
1204	C₂²×C₄	—	26	2	no	—
1205	C₂²×C₄	—	26	2	no	—
1206	C₂²×C₄	—	26	2	no	—
1207	C₂²×C₄	—	26	2	no	—
1208	C₂²×C₄	—	26	2	no	—
1209	C₂²×C₄	—	26	2	no	—
1210	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	2	2	no	—
1229	C₄⋊C₄	—	2	2	no	—
1230	C₄⋊C₄	—	2	2	no	—
1231	C₄⋊C₄	—	2	2	no	—
1232	C₄⋊C₄	—	2	2	no	—
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	2	2	no	—
1236	C₄⋊C₄	—	13	4	no	—
1237	C₄⋊C₄	—	13	4	no	—
1238	C₄⋊C₄	—	13	4	no	—
1239	C₄⋊C₄	—	26	2	no	—
1240	C₄⋊C₄	—	26	2	no	—
1241	C₄⋊C₄	—	26	2	no	—
1242	C₄⋊C₄	—	26	2	no	—
1243	C₄⋊C₄	—	26	2	no	—
1244	C₄⋊C₄	—	26	2	no	—
1245	C₄⋊C₄	—	26	2	no	—
1246	C₄⋊C₄	—	26	2	no	—
1247	C₄⋊C₄	—	26	2	no	—
1248	C₄⋊C₄	—	26	2	no	—
1249	C₄⋊C₄	—	26	2	no	—
1250	C₄⋊C₄	—	26	2	no	—
1251	C₄⋊C₄	—	26	2	no	—
1252	C₄⋊C₄	—	26	2	no	—
1253	C₄⋊C₄	—	26	2	no	—
1254	C₄⋊C₄	—	26	2	no	—
1255	C₄⋊C₄	—	26	2	no	—
1256	C₄⋊C₄	—	26	2	no	—
1257	C₄⋊C₄	—	26	2	no	—
1258	C₄⋊C₄	—	26	2	no	—
1259	C₄⋊C₄	—	26	2	no	—
1260	C₄⋊C₄	—	26	2	no	—
1261	C₄⋊C₄	—	26	2	no	—
1262	C₄⋊C₄	—	26	2	no	—
1263	C₄⋊C₄	—	26	2	no	—
1264	C₄⋊C₄	—	26	2	no	—
1265	C₄⋊C₄	—	26	2	no	—
1266	C₄⋊C₄	—	26	2	no	—
1267	C₄⋊C₄	—	26	2	no	—
1268	C₄⋊C₄	—	26	2	no	—
1269	C₄⋊C₄	—	26	2	no	—
1270	C₄⋊C₄	—	26	2	no	—
1271	C₄⋊C₄	—	26	2	no	—
1272	C₄⋊C₄	—	26	2	no	—
1273	C₄⋊C₄	—	26	2	no	—
1274	C₄⋊C₄	—	26	2	no	—
1275	C₄⋊C₄	D₄×D₁₃	1	4	yes	—
1276	C₂²⋊C₄	—	2	2	no	—
1277	C₂²⋊C₄	—	2	2	no	—
1278	C₂²⋊C₄	—	2	2	no	—
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	2	2	no	—
1282	C₂²⋊C₄	—	2	2	no	—
1283	C₂²⋊C₄	—	26	2	no	—
1284	C₂²⋊C₄	—	26	2	no	—
1285	C₂²⋊C₄	—	26	2	no	—
1286	C₂²⋊C₄	—	26	2	no	—
1287	C₂²⋊C₄	—	26	2	no	—
1288	C₂²⋊C₄	—	26	2	no	—
1289	C₂²⋊C₄	—	26	2	no	—
1290	C₂²⋊C₄	—	26	2	no	—
1291	C₂²⋊C₄	—	26	2	no	—
1292	C₂²⋊C₄	—	26	2	no	—
1293	C₂²⋊C₄	—	26	2	no	—
1294	C₂²⋊C₄	—	26	2	no	—
1295	C₂²⋊C₄	—	26	2	no	—
1296	C₂²⋊C₄	—	26	2	no	—
1297	C₂²⋊C₄	—	26	2	no	—
1298	C₂²⋊C₄	—	26	2	no	—
1299	C₂²⋊C₄	—	26	2	no	—
1300	C₂²⋊C₄	—	26	2	no	—
1301	C₂²⋊C₄	—	26	2	no	—
1302	C₂²⋊C₄	—	26	2	no	—
1303	C₂²⋊C₄	—	26	2	no	—
1304	C₄²	—	2	2	no	—
1305	C₄²	—	2	2	no	—
1306	C₄²	—	2	2	no	—
1307	C₄²	—	2	2	no	—
1308	C₄²	—	2	2	no	—
1309	C₄²	—	26	2	no	—
1310	C₄²	—	26	2	no	—
1311	C₄²	—	26	2	no	—
1312	C₄²	—	26	2	no	—
1313	C₄²	—	26	2	no	—
1314	C₄²	—	26	2	no	—
1315	C₄²	—	26	2	no	—
1316	C₄²	—	26	2	no	—
1317	C₄²	—	26	2	no	—
1318	C₄²	—	26	2	no	—
1319	C₄²	—	26	2	no	—
1320	C₄²	—	26	2	no	—
1321	C₄²	—	26	2	no	—
1322	C₄²	—	26	2	no	—
1323	C₄²	—	26	2	no	—
1324	C₁₃	C₂×#2519	1	1	yes	characteristic, complemented, Sylow
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	13	2	no	—
1333	C₂³	—	13	2	no	—
1334	C₂³	—	13	2	no	—
1335	C₂³	—	13	2	no	—
1336	C₂³	—	13	2	no	—
1337	C₂³	—	13	2	no	—
1338	C₂³	—	13	2	no	—
1339	C₂³	—	26	1	no	—
1340	C₂³	—	26	1	no	—
1341	C₂³	—	26	1	no	—
1342	C₂³	—	26	1	no	—
1343	C₂³	—	26	1	no	—
1344	C₂³	—	26	1	no	—
1345	C₂³	—	26	1	no	—
1346	C₂³	—	52	4	no	—
1347	C₂³	—	52	4	no	—
1348	C₂³	—	52	4	no	—
1349	C₂³	—	52	4	no	—
1350	C₂³	—	52	4	no	—
1351	C₂³	—	52	4	no	—
1352	C₂³	—	52	4	no	—
1353	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	13	2	no	—
1390	C₂×C₄	—	13	2	no	—
1391	C₂×C₄	—	13	2	no	—
1392	C₂×C₄	—	13	2	no	—
1393	C₂×C₄	—	13	2	no	—
1394	C₂×C₄	—	13	2	no	—
1395	C₂×C₄	—	13	2	no	—
1396	C₂×C₄	—	26	8	no	—
1397	C₂×C₄	—	26	8	no	—
1398	C₂×C₄	—	26	8	no	—
1399	C₂×C₄	—	26	8	no	—
1400	C₂×C₄	—	26	8	no	—
1401	C₂×C₄	—	26	8	no	—
1402	C₂×C₄	—	26	8	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	26	1	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	26	1	no	—
1408	C₂×C₄	—	26	1	no	—
1409	C₂×C₄	—	26	1	no	—
1410	C₂×C₄	—	26	1	no	—
1411	C₂×C₄	—	26	1	no	—
1412	C₂×C₄	—	26	1	no	—
1413	C₂×C₄	—	26	1	no	—
1414	C₂×C₄	—	26	1	no	—
1415	C₂×C₄	—	26	1	no	—
1416	C₂×C₄	—	26	1	no	—
1417	C₂×C₄	—	26	1	no	—
1418	C₂×C₄	—	26	1	no	—
1419	C₂×C₄	—	26	1	no	—
1420	C₂×C₄	—	26	1	no	—
1421	C₂×C₄	—	26	1	no	—
1422	C₂×C₄	—	26	1	no	—
1423	C₂×C₄	—	26	1	no	—
1424	C₂×C₄	—	26	1	no	—
1425	C₂×C₄	—	26	1	no	—
1426	C₂×C₄	—	26	1	no	—
1427	C₂×C₄	—	26	1	no	—
1428	C₂×C₄	—	26	1	no	—
1429	C₂×C₄	—	26	1	no	—
1430	C₂×C₄	—	26	1	no	—
1431	C₂×C₄	—	26	1	no	—
1432	C₂×C₄	—	26	1	no	—
1433	C₂×C₄	—	26	1	no	—
1434	C₂×C₄	—	26	1	no	—
1435	C₂×C₄	—	26	1	no	—
1436	C₂×C₄	—	26	1	no	—
1437	C₂×C₄	—	26	1	no	—
1438	C₂×C₄	—	52	4	no	—
1439	C₂×C₄	—	52	4	no	—
1440	C₂×C₄	—	52	4	no	—
1441	C₂×C₄	—	52	4	no	—
1442	C₂×C₄	—	52	4	no	—
1443	C₂×C₄	—	52	4	no	—
1444	C₂×C₄	—	52	4	no	—
1445	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1446	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1447	C₂×C₄	C₂×D₄×D₁₃	1	2	yes	—
1448	C₂×C₄	#41×D₁₃	1	2	yes	—
1449	C₂×C₄	#41×D₁₃	1	2	yes	—
1450	C₂×C₄	#41×D₁₃	1	2	yes	—
1451	C₂×C₄	#41×D₁₃	1	2	yes	—
1452	C₂²	—	4	1	no	—
1453	C₂²	—	4	1	no	—
1454	C₂²	—	4	1	no	—
1455	C₂²	—	4	1	no	—
1456	C₂²	—	4	1	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	13	4	no	—
1460	C₂²	—	13	4	no	—
1461	C₂²	—	13	4	no	—
1462	C₂²	—	13	4	no	—
1463	C₂²	—	13	4	no	—
1464	C₂²	—	13	4	no	—
1465	C₂²	—	13	4	no	—
1466	C₂²	—	52	1	no	—
1467	C₂²	—	52	1	no	—
1468	C₂²	—	52	1	no	—
1469	C₂²	—	52	1	no	—
1470	C₂²	—	52	1	no	—
1471	C₂²	—	52	1	no	—
1472	C₂²	—	52	1	no	—
1473	C₂²	—	104	8	no	—
1474	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1475	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1476	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1477	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1478	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1479	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1480	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1481	C₄	—	2	2	no	—
1482	C₄	—	2	2	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	4	1	no	—
1489	C₄	—	4	1	no	—
1490	C₄	—	4	1	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	1	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	26	2	no	—
1496	C₄	—	26	2	no	—
1497	C₄	—	26	2	no	—
1498	C₄	—	26	2	no	—
1499	C₄	—	26	2	no	—
1500	C₄	—	26	2	no	—
1501	C₄	—	26	2	no	—
1502	C₄	—	52	1	no	—
1503	C₄	—	52	1	no	—
1504	C₄	—	52	1	no	—
1505	C₄	—	52	1	no	—
1506	C₄	—	52	1	no	—
1507	C₄	—	52	1	no	—
1508	C₄	—	52	1	no	—
1509	C₂	—	8	1	no	—
1510	C₂	—	13	8	no	—
1511	C₂	—	104	1	no	—
1512	C₂	D₁₃×#529	1	1	yes	characteristic
1513	C₂	D₁₃×#532	1	1	yes	characteristic
1514	C₂	D₁₃×#541	1	1	yes	characteristic
1515	C₂	D₁₃×#547	1	1	yes	characteristic
1516	C₂	D₁₃×#548	1	1	yes	characteristic
1517	C₂	D₁₃×#552	1	1	yes	characteristic
1518	C₂	D₁₃×#552	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2519	C₂
prime radical	C₂⁴×D₁₃	C₂³
hypercenter	#2519	D₁₃
hypocenter	C₁₃	C₂×#2519
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2519

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₂×D₁₃×#125	C₂	semidirect
3. #13119516	C₂	semidirect
4. #13119515	C₂	semidirect
5. #13119514	C₂	semidirect
6. #13119513	C₂	semidirect
7. #13119512	C₂	semidirect
8. #13119511	C₂	semidirect
9. #13119510	C₂	semidirect
10. #13119509	C₂	semidirect
11. #13119508	C₂	semidirect
12. #13119507	C₂	semidirect
13. #13119506	C₂	semidirect
14. #13119505	C₂	semidirect
15. #13119504	C₂	semidirect
16. #13119503	C₂	semidirect
17. #13119502	C₂	semidirect
19. D₁₃×#398	C₂	semidirect
20. D₁₃×#398	C₂	semidirect
22. D₁₃×#389	C₂	semidirect
27. D₁₃×#387	C₂	semidirect
28. D₁₃×#382	C₂	semidirect
29. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
30. C₄×C₄⋊C₄×D₁₃	C₂	semidirect
31. C₁₃×#2519	C₂	semidirect
33. C₂×C₁₃×#125	C₂²	semidirect
52. C₂×#88144	C₂²	semidirect
53. C₂×#88144	C₂²	semidirect
54. C₂×#88143	C₂²	semidirect
55. C₂×#88143	C₂²	semidirect
56. C₂×#88143	C₂²	semidirect
57. C₂×#88143	C₂²	semidirect
74. C₂×#88124	C₂²	semidirect
76. C₁₃×#398	C₂²	semidirect
77. C₁₃×#398	C₂²	semidirect
79. C₁₃×#389	C₂²	semidirect
84. C₁₃×#387	C₂²	semidirect
85. C₁₃×#382	C₂²	semidirect
86. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
87. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
98. #11718646	C₂²	semidirect
99. #11718645	C₂²	semidirect
100. #11718645	C₂²	semidirect
101. #11718645	C₂²	semidirect
102. #11718645	C₂²	semidirect
103. #11718644	C₂²	semidirect
104. #11718644	C₂²	semidirect
105. #11718642	C₂²	semidirect
106. #11718641	C₂²	semidirect
107. #11718641	C₂²	semidirect
108. #11718639	C₂²	semidirect
109. #11718638	C₂²	semidirect
110. #11718638	C₂²	semidirect
111. C₄⋊C₄×Dic₁₃	C₂²	semidirect
112. C₄⋊C₄×Dic₁₃	C₂²	semidirect
113. C₄⋊C₄×Dic₁₃	C₂²	semidirect
114. C₄⋊C₄×Dic₁₃	C₂²	semidirect
115. #11718634	C₂²	semidirect
116. #11718633	C₂²	semidirect
117. #11718633	C₂²	semidirect
140. #11718597	C₂²	semidirect
141. C₄×C₄⋊Dic₁₃	C₂²	semidirect
142. C₄×C₄⋊Dic₁₃	C₂²	semidirect
143. #11718594	C₂²	semidirect
144. C₄×#6101	C₂²	semidirect
145. C₄×#6101	C₂²	semidirect
146. C₄×#6101	C₂²	semidirect
147. C₄×#6101	C₂²	semidirect
148. #11718589	C₂²	semidirect
169. #11718322	C₂²	semidirect
170. #11718322	C₂²	semidirect
171. #11718318	C₂²	semidirect
172. #11718318	C₂²	semidirect
173. #11718318	C₂²	semidirect
174. #11718318	C₂²	semidirect
175. #11718316	C₂²	semidirect
176. #11718315	C₂²	semidirect
177. #11718314	C₂²	semidirect
178. #11718313	C₂²	semidirect
179. #11718311	C₂²	semidirect
180. #11718311	C₂²	semidirect
181. #11718311	C₂²	semidirect
182. #11718311	C₂²	semidirect
183. #11718310	C₂²	semidirect
184. #11718310	C₂²	semidirect
185. #11718310	C₂²	semidirect
186. #11718310	C₂²	semidirect
187. #11718308	C₂²	semidirect
188. #11718308	C₂²	semidirect
583. #2519	D₁₃	direct (N × H)
741. C₂×#125	C₂×D₁₃	semidirect
789. #398	C₂×D₁₃	semidirect
790. #398	C₂×D₁₃	semidirect
806. #389	C₂×D₁₃	semidirect
846. #387	C₂×D₁₃	semidirect
854. #382	C₂×D₁₃	semidirect
869. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
870. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
1143. D₁₃	#2519	direct (N × H)
1324. C₁₃	C₂×#2519	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×D₁₃×#126	2
C₂×D₁₃×#125	2
#13119516	2
#13119515	2
#13119514	2
#13119513	2
#13119512	2
#13119511	2
#13119510	2
#13119509	2
#13119508	2
#13119507	2
#13119506	2
#13119505	2
#13119504	2
#13119503	2
#13119502	2
D₁₃×#399	2
D₁₃×#398	2
D₁₃×#396	2
D₁₃×#389	2
D₁₃×#388	2
D₁₃×#387	2
D₁₃×#382	2
C₄×C₄⋊C₄×D₁₃	2
C₁₃×#2519	2
C₂×#2519	13

Subgroups — D13×#2519 #16031998

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#2519 #16031998